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  • :$\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! (1) ~ ~ ~ F(z\!+\!1)=T(F(z))$ :$\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\! (2) ~ ~ ~ \displaystyle F(z) = L+\sum_{n=1}^{N} a_n \varepsilon^n + o(\varepsilon^N)$ , where $\varepsi
    20 KB (3,010 words) - 18:11, 11 June 2022
  • : \(\mathrm{SuperFactorial}(z)=\mathrm{Factorial}^z(3)\) : \(\mathrm{Factorial}(\mathrm{SuperFactorial}(z))=\mathrm{SuperFactorial}(z\!+\!1)\)
    18 KB (2,278 words) - 00:03, 29 February 2024
  • : \(F(z\!+\!1)=h(F(z))\) for all \(z\in C \subseteq \mathbb C\).
    3 KB (519 words) - 18:27, 30 July 2019
  • : \(G(T(z))=G(z)+1\) In certain range of values of \(z\), this equation is equivalent of the [[Transfer equation]]
    4 KB (547 words) - 23:16, 24 August 2020
  • D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation, v.78 (2009), 1647-1670. : \((1) ~ ~ ~ ~ ~ F(z\!+\!1)=h(F(z))\)
    11 KB (1,644 words) - 06:33, 20 July 2020
  • : \((1)~ ~ ~ ~ ~ G(T(z))=G(z)+1\) at least for \(z\) from some domain in the complex plane.
    4 KB (598 words) - 18:26, 30 July 2019
  • ...}{r} \frac{\partial u_r}{\partial \phi} + u_z \frac{\partial u_r}{\partial z} - \frac{u_{\phi}^2}{r}\right) = ...^2}\frac{\partial^2 u_r}{\partial \phi^2} + \frac{\partial^2 u_r}{\partial z^2}-\frac{u_r}{r^2}-\frac{2}{r^2}\frac{\partial u_\phi}{\partial \phi} \righ
    7 KB (1,149 words) - 18:26, 30 July 2019
  • :\( \exp(\ln(z))=z ~ ~\) for all from the range of definition; : \(\exp_b(z)=b^z\)
    4 KB (661 words) - 10:12, 20 July 2020
  • :\(\mathrm{Nest}[f,z,c]\) where \(f\) is name of iterated function, \(z\) is initial value of the argument, and \(c\) is number of iterations.
    3 KB (438 words) - 18:25, 30 July 2019
  • | doi= 10.1007/s00340-005-2083-z | doi= 10.1007/s00340-005-2083-z
    15 KB (2,106 words) - 13:37, 5 December 2020
  • ...plied Physics B 82 (3): 363–366.(2006). <!-- doi:10.1007/s00340-005-2083-z !--> ...agnet traps, [[Ioffe configuration trap]]s, [[QUIC trap]]s and others. The z-type trap shown in the picture happened to be to easy to manufacture and ef
    9 KB (1,400 words) - 18:26, 30 July 2019
  • ...has translational symmetry in two directions (say <math>y</math> and <math>z</math>), such that only a single coordinate (say <math>x</math>) is importa
    16 KB (2,453 words) - 18:26, 30 July 2019
  • D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation 78 (2009), 1647-1670. : \( \mathrm{ate}_b(\mathrm{tet}_b(z))=z \)
    7 KB (1,091 words) - 23:03, 30 November 2019
  • ...cally analytic function with hyperbolic fixpoint at \(0\), i.e. \(f(z)=c_1 z + c_2z^2 + \dots\), \(|c_1|\neq 0,1\), there is always a locally analytic a <math>\sigma(f(z))=c_1 \sigma(z))\</math>
    4 KB (574 words) - 18:26, 30 July 2019
  • main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d, cu,cd; DO(n,N1){y=Y[n]; z=z_type(x,y);
    3 KB (529 words) - 14:32, 20 June 2013
  • // To call this function at complex argument z, type '''FSLOG(z)''' z_type z=z1-1.; z/=2.;
    5 KB (275 words) - 07:00, 1 December 2018
  • ...(\mathbb Z\) is used to denote the set of integer numbers; \(m \in \mathbb Z\). \( \mathbb N \subset \mathbb Z\)
    7 KB (1,216 words) - 18:25, 30 July 2019
  • ...C\), there is defined function \(f(z) \in \mathbb C\) such that for any \(z \in C\) there exist the derivative ...ystyle f'(z)= \lim_{t \rightarrow 0,~ t\in \mathbb C}~ \frac{f(z\!+\!t)-f(z)}{t}
    1 KB (151 words) - 21:08, 25 January 2021
  • f'(z)= \frac{f(z)}{1+f(z)} ...nd then along the straight line (parallel to the real axis) to the point \(z\).
    27 KB (4,071 words) - 18:29, 16 July 2020
  • ...nction." From MathWorld--A Wolfram Web Resource. </ref>, is solution \(W=W(z)\) of equations ...tyle \!\!\!\!\!\!\!\!\!\!\!\!\!\!\! (0\mathrm{a}) ~ ~ ~ W'= \frac{W}{(1+W)~z}\)
    8 KB (1,107 words) - 18:26, 30 July 2019
  • In vicinity of the real axis (While \(|\Im(z)| \!<\! \pi\)), the [[Doya function]] can be expressed through the \mathrm{Doya}(z)=\mathrm{LambertW}\Big( z~ \mathrm{e}^{z+1} \Big)\)
    19 KB (2,778 words) - 10:05, 1 May 2021
  • z_type ArcTania(z_type z) {return z + log(z) - 1. ;} z_type ArcTaniap(z_type z) {return 1. + 1./z ;}
    3 KB (480 words) - 14:33, 20 June 2013
  • : \( \!\!\!\!\!\!\!\!\!\!\!\! (1) ~ ~ ~ F(z+1)=T(F(z)) \) : \( \!\!\!\!\!\!\!\!\!\!\!\! (2) ~ ~ ~ G(T(z))=G(z)+1 \)
    11 KB (1,565 words) - 18:26, 30 July 2019
  • : \(\!\!\!\!\!\!\!\!\!\!\!\!\!(1) ~ ~ ~ \varphi(\varphi(z))=z\) ...) is assumed to be [[holomorphic function]] for some domain of values of \(z\).
    5 KB (750 words) - 18:25, 30 July 2019
  • ...ot \</math>1/\sin(z)<math>); and \</math>\exp^2(z)\\]means <math>\exp(\exp(z))\</math>, but not \\[\exp(z)^2\\]and not <math>\exp(z^2)\</math>.</ref>.
    7 KB (1,006 words) - 18:26, 30 July 2019
  • [[File:PowIteT.jpg|400px|thumb|Fig.1. Iterates of \(T(z)=z^2~\): \(~y\!=\!T^n(x)\!=\!x^{2^n}~\) for various \(n\)]] [[File:ExpIte4T.jpg|360px|thumb|Fig.3. Iterates of \(T(z)=\exp(z)~\): \(~y\!=\!T^n(x)\!=\!\exp^n(x)~\) ]]
    14 KB (2,203 words) - 06:36, 20 July 2020
  • D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation, v.78 (2009), 1647-1670.
    2 KB (248 words) - 14:33, 20 June 2013
  • : \(\exp(\mathrm{tet}(z))= \mathrm{tet}(z\!+\!1)\) ...on of the [[Transfer equation]] \( \mathrm{tet}(z\!+\!1)=\exp(\mathrm{tet}(z)) \).
    14 KB (1,972 words) - 02:22, 27 June 2020
  • : \(f(f(z))=z!\) ...7/home.html D.Kouznetsov. Analytic solution of F(z+1)=exp(F(z)) in complex z-plane. Mathematics of Computation, v.78 (2009), 1647-1670.
    6 KB (312 words) - 18:33, 30 July 2019
  • D^{-1} \mathrm {e}^{px}=\int_0^x \mathrm{e}^{pz} \mathrm d z ...\(u\) an \(v\) representable in form (6), and \(g(z)=\alpha u(z) + \beta v(z)\)
    9 KB (1,321 words) - 18:26, 30 July 2019
  • : \(h(h(z))=z\) для некоторого домена значений \(z\).
    7 KB (381 words) - 18:38, 30 July 2019
  • : \( \!\!\!(1) ~ ~ ~ T(f(z))=f(kz)\) : \(\!\!\!(2) ~ ~ ~ T(F(z))=F(z+1)\)
    5 KB (116 words) - 18:37, 30 July 2019
  • Евгения Альбац. Кто вы, доктор Z? № 5 (274) от 18 февраля 2013 года.</ref>. Он состои ...ч активистов за компьютерами». Блогер doct-z — о создании глобального проекта по поис
    219 KB (3,034 words) - 19:23, 7 November 2021
  • ...\(\exp(z)\) is evaluated with routine complex double Filog(complex double z) below z_type ArcTania(z_type z) {return z + log(z) - 1. ;}
    2 KB (258 words) - 10:19, 20 July 2020
  • \(f=\mathrm{Filog}(z)\) is solution of the equation for base \(b\!=\!\exp(z)\).
    4 KB (572 words) - 20:10, 11 August 2020
  • ...\!\!\! (1) \displaystyle ~ ~ ~ \exp(a~ \mathrm{tet_s}(z)) = \mathrm{tet}_s(z\!+\!1)\) ...ex half-line, except some facility of the negative part of the real axis \(z<-2\); the tetration should have the cutline there.
    5 KB (707 words) - 21:33, 13 July 2020
  • ...-5718-09-02188-7/home.html D.Kouznetsov. (2009). Solutions of F(z+1)=exp(F(z)) in the complex plane.. Mathematics of Computation, 78: 1647-1670.</ref>. { int m,j,i; long double z1,z,xm,xl,pp,p3,p2,p1;
    108 KB (1,626 words) - 18:46, 30 July 2019
  • T(F(z))=F(z+1) It is assumed that \(F(z)\) is holomorphic at least in the strip \(\Re(z)\le 1\), and
    6 KB (987 words) - 10:20, 20 July 2020
  • | doi=10.1007/s00340-005-2083-z http://maps.google.com/maps?q=34.85,138.55&ie=UTF8&om=1&z=19&ll=35.657952,139.54128&spn=0.001077,0.002942&t=h
    12 KB (1,757 words) - 07:01, 1 December 2018
  • // complex<double>FSEXP( complex <double> z) z_type fima(z_type z){ z_type c,e;
    9 KB (654 words) - 07:00, 1 December 2018
  • : \( F(z)=z\cdot F(z\!-\!1)\) : \(\mathrm{Factorial}(z)=z!\)
    2 KB (59 words) - 18:33, 30 July 2019
  • : \( \cos(\arccos(z))=z\) ...phic in the whole complex plane except the halflines \(z\!\le\! -1\) and \(z\!\ge\! 1\).
    5 KB (754 words) - 18:47, 30 July 2019
  • : \(\displaystyle \mathrm {Cip}(z)=\frac{\cos(z)}{z}\) <!-- Complex map of function Cip is shown at right.!--> : \(\displaystyle \mathrm{Cip}(\mathrm{ArcCip}(z))=z\).
    8 KB (1,211 words) - 18:25, 30 July 2019
  • z_type superfac0(z_type z){ int n; z_type s; z_type e=exp(k*z);
    1 KB (88 words) - 14:55, 20 June 2013
  • z_type fracti(z_type z){ z_type s; int n; DB a[17]= s=a[16]/(z+19./(z+25./(z))); for(n=15;n>=0;n--) s=a[n]/(z+s);
    4 KB (487 words) - 07:00, 1 December 2018
  • : \(\displaystyle \sin(z) = \frac{\exp(\mathrm i z)- \exp(-\mathrm i z)}{2~ \mathrm i}\) \(f=\arcsin(z)\) is holomorphic solution \(f\) of equation
    9 KB (982 words) - 18:48, 30 July 2019
  • : \(\displaystyle \mathrm{coshc}(z)=\frac{\cosh(z)}{z}\) : \(\displaystyle \cosh(z)=\cos(\mathrm i z) = \frac{\mathrm e^z+\mathrm e^{-z} }{2}\)
    4 KB (509 words) - 18:26, 30 July 2019
  • : \( \displaystyle \mathrm{cosc}(z)=\frac{\cos(z)}{z}\) : \(\displaystyle \mathrm{sinc}(z)=\frac{\sin(z)}{z}\)
    8 KB (1,137 words) - 18:27, 30 July 2019
  • : \( \displaystyle \mathrm{cosc}(z)=\frac{\cos(z)}{z}\) : \( \displaystyle \mathrm{sinc}(z) = \frac{ \sin(z)}{z}\)
    4 KB (649 words) - 18:26, 30 July 2019
  • : \(\!\!\!\!\!\!\!\!\! (4) ~ ~ ~ ~ \mathrm{cohc}(z)=\frac{\cosh(z)}{z}\); ...\!\!\!\! (5) ~ ~ ~ ~ \mathrm{cohc}'(z)=\frac{\sinh(z)}{z}-\frac{\cosh(z)}{z^2}\)
    4 KB (581 words) - 18:25, 30 July 2019
  • ...{\cosh(z)}{z} ~,~\) \(~ ~ \displaystyle \mathrm{cosc}(z) = \frac{\cos(z)}{z}\) ...{\sinh(z)}{z} ~,~ \) \(~ ~ \displaystyle \mathrm{sinc}(z) = \frac{\sin(z)}{z} \)
    4 KB (495 words) - 18:47, 30 July 2019
  • : \(\mathrm{acosq}(z)=\mathrm{acosc}\left( \mathrm e ^{\mathrm i \pi/4} \,z \right)\) main(){ int j,k,m,n; DB x,y, p,q, t; z_type z,c,d;
    4 KB (656 words) - 18:25, 30 July 2019
  • // ArcCosc is [[inverse function]] of [[Cosc]]; \(\text{cosc}(z) = \cos(z)/z\). z_type cosc(z_type z) {return cos(z)/z;}
    1 KB (219 words) - 18:46, 30 July 2019
  • : \(\text{acosqq}(z)=\text{acosq}(z)\, \tan\!\!\big( \text{acosq}(z) \big)\) : \(\text{acosq}(z)=\text{acosq}\big( \mathrm e ^{\mathrm i \pi /4}\, z \big)\)
    2 KB (216 words) - 18:26, 30 July 2019
  • z_type acos(z_type z){ if(Im(z)<0){if(Re(z)>=0){return I*log( z + sqrt(z*z-1.) );}
    3 KB (436 words) - 18:47, 30 July 2019
  • \(f=\mathrm{Acosc1}(z)\) is solution of equation : \( \displaystyle \mathrm{cosc}(f)=z\)
    6 KB (896 words) - 18:26, 30 July 2019
  • : \( \mathrm{Factorial}(\mathrm{ArcFactorial}(z))=z\) However, \(\mathrm{Factorial}^{-1}(z)\) should not be confused with
    3 KB (376 words) - 18:26, 30 July 2019
  • ...\!\!\!\!\!\ (2) ~ ~ ~ \Psi=\Psi( \vec x, z)=\exp(\mathrm i k z)\psi(\vec x,z)\) ...(2) into (1) and neglecting term with second derivative with respect to \(z\) gives
    3 KB (496 words) - 18:25, 30 July 2019
  • ...al case, the particle propagates mainly along some coordinate, let it be \(z\), and the potential depends only on the transversal coordinates. ...\!\!\!\!\!\!\!\!\!\! (6) ~ ~ ~ \psi=\mathrm e ^{\mathrm i (c+\mathrm i s) z }\)
    15 KB (2,070 words) - 18:47, 30 July 2019
  • J_0''(z)+ J_0'(z)/z+
    6 KB (913 words) - 18:25, 30 July 2019
  • ...nc}(z)= \frac{\sin(z)}{z}~\), \(~~\mathrm{sinc}\big(\mathrm{asinc}(z)\big)=z\) : \( \displaystyle \mathrm{acosc}(z^*)= \mathrm{acosc}(z)^*\)
    4 KB (563 words) - 18:27, 30 July 2019
  • ...is assumed, and it is supposed that mainly the particle propagates along \(z\) axis, and \(x\) is called the transversal coordinate.!--> ...psi= \psi(x,z)\) and \(\nabla\) differentiates with respect to \(x\) and \(z\).
    5 KB (743 words) - 18:47, 30 July 2019
  • f''(z)+f(z)/z=f(z) K_0(z) = \exp(-z)\sqrt{\frac{\pi}{2z}} ~ \Big( 1+ O(1/z)\Big)
    3 KB (394 words) - 18:26, 30 July 2019
  • solution \(f=f(z)\) of the Bessel equation f''+f'/z+f=0\)
    3 KB (445 words) - 18:26, 30 July 2019
  • : \(\!\!\!\!\!\!\!\!\!\!\! (1) ~ ~ ~ z^2 f''(z) + z f'(z) + (z^2-\nu^2) f(z)=0\) : \(\!\!\!\!\!\!\!\!\!\!\! (2) ~ ~ ~ H_\nu(z)=J_\nu(z)+\mathrm i Y_\nu(z)\)
    3 KB (388 words) - 18:26, 30 July 2019
  • : \(\!\!\!\! \mathrm{BesselJ1}(z)=J_1(z)= \mathrm{BesselJ}[1,z]\) f''(z)+f'(z)/z + (z^2\!-\!1)f(z) = 0\)
    3 KB (439 words) - 18:26, 30 July 2019
  • z_type BesselJ0o(z_type z){ int n; z_type c,s,t; s=1.; c=1.; t=-z*z/4.; for(n=1;n<32;n++) {c/=0.+n*n; c*=t; s+=c;}
    2 KB (190 words) - 18:47, 30 July 2019
  • // BesselJ[1,z] implementation: z_type BesselJ1o(z_type z){ int n; z_type c,s,t;
    2 KB (159 words) - 14:59, 20 June 2013
  • \( \!\!\!\!\!\!\!\!\! (1) ~ ~ ~ f''(z)+f'(z)/z+(1-\nu/z^2)f(x) =0\) Due to singularity of the equation at \(z=0\), the regular solution should have specific behavior. This solution is c
    13 KB (1,592 words) - 18:25, 30 July 2019
  • ...elj0.cin]] is also required for the evaluation of BesselY0(\(z\)) at \(\Re(z) < 0\). z_type BesselY0o(z_type z){ z_type q=z*z, L=log(z),c;
    4 KB (370 words) - 18:46, 30 July 2019
  • [[BesselH0]]\((z)=H_0(z)\!=\)[[HankelH1]]\([0,z]\) is the [[Cylindric function]] H (called also the [[Hankel function]]) o : \(H_0(z)=J_0(z)+\mathrm i Y_0(z)\)
    4 KB (509 words) - 18:26, 30 July 2019
  • The only two spatial coordinates \(Z\) and \(Y\) are used; and the letter \(Z\) is not necessary for the third spatial coordinate. There fore it is used ...!\!\!\!\!\!\!(2) ~ ~ ~ ~ Z=\mathrm{Serega}(z)=z+\mathrm i ~ \exp(\mathrm i z^*)\)
    12 KB (1,879 words) - 18:26, 30 July 2019
  • z_type Serega(z_type z){ DB x,y, p,q, r,s,c; int n; x=Re(z); y=Im(z); z_type ArcSerega(z_type z){ DB x,y ,X,Y,X0,Y0, r,s,c, rc,rs, dX, dY; int n;
    1 KB (265 words) - 15:00, 20 June 2013
  • ...on''' is nongolomorphic function \(\mathrm{Serega}\) of complex variable \(z\) such that : \(F(z)=x+\mathrm i ~ \exp(\mathrm i ~ z^*)\)
    5 KB (674 words) - 18:25, 30 July 2019
  • ...\!\!\!\!\!\!\!\!(1) ~ ~ ~ ~ \mathrm{LogisticOperator}_s(z) = s\,z \,(1\!-\!z)\) where \(z\) is complex number and \(s\) is real number; usually it is assumed that \(
    7 KB (886 words) - 18:26, 30 July 2019
  • z_type J(z_type z){ return .5-sqrt(.25-z/Q); } z_type H(z_type z){ return Q*z*(1.-z); }
    3 KB (364 words) - 07:00, 1 December 2018
  • ...\!\!\!\!\!\! (1) ~ ~ ~ T(z)=\mathrm{LogisticOperator}_s(z)= s\, z\, (1\!-\!z)\) ...~ ~ \mathrm{ArcLogisticSequence}_s(T(z))= \mathrm{ArcLogisticSequence}_s(z)+1\)
    3 KB (380 words) - 18:25, 30 July 2019
  • ...\!\!\!\!\!\!\!\!(1) ~ ~ ~ ~ \mathrm{LogisticOperator}_s(z) = s\,z \,(1\!-\!z)\) : \(\!\!\!\!\!\!\!\!\!\!\!(2) ~ ~ ~ ~ F(z\!+\!1)=T(F(z))\)
    6 KB (817 words) - 19:54, 5 August 2020
  • f'(z)= \frac{f(z)}{1+f(z)} ...nd then along the straight line (parallel to the real axis) to the point \(z\).
    4 KB (610 words) - 10:22, 20 July 2020
  • ...ler Institute of Quantum Electronics HPT E 16.3 Auguste-Piccard-Hof 1 8093 Zürich ...\!\!\!\! (1) ~ ~ ~ \mathrm{Keller}(z)=z+ \ln\!\Big(\mathrm e - \mathrm e^{-z}(\mathrm e-1) \Big)\)
    10 KB (1,479 words) - 05:27, 16 December 2019
  • :\( \!\!\!\!\!\!\!\!\!\! (1) ~ ~ ~ \mathrm {Shoko}(z)=\ln\Big(1+\mathrm e^z (\mathrm e -1) \Big)\) ...!\!\!\!\!\!\!\!\!\! (2) ~ ~ ~ \mathrm {Shoko}(z)= (\mathrm e -1) \mathrm e^z+ O(\mathrm e^{2z})\)
    10 KB (1,507 words) - 18:25, 30 July 2019
  • :\( \mathrm{Shoka}(z)=z+\ln\!\Big( \exp(-z) +\mathrm e -1\Big)\) ...=\mathrm{Shoka}^{-1}\) can be expressed as elementary function; for \(|\Im(z)| < \pi\),
    3 KB (421 words) - 10:23, 20 July 2020
  • : \( \displaystyle \mathrm{ArcShoka}(z)= z + \ln\!\left( \frac{\mathrm e^z-1}{\mathrm e-1} \right)\) :\( T(F(z))=F(z\!+\!1)\)
    3 KB (441 words) - 18:26, 30 July 2019
  • ...\!\!\!\! (1) ~ ~ ~ \mathrm{Keller}(z)=z+ \ln\!\Big(\mathrm e - \mathrm e^{-z}(\mathrm e-1) \Big)\) ...left( \frac{1}{\mathrm e}+\frac{\mathrm e \!-\!1}{\mathrm e}\, \mathrm e^{-z} \right)\)
    4 KB (545 words) - 18:26, 30 July 2019
  • z_type superfac0(z_type z){ int n; z_type s; z_type e=exp(k*z);
    1 KB (88 words) - 15:01, 20 June 2013
  • z_type infp0(z_type z) s=c[29]; for(n=28;n>=0;n--){ s*=z; s+=c[n];} return s;}
    3 KB (353 words) - 15:01, 20 June 2013
  • z_type afacb(z_type z){ z_type t=(log(z)-F0)/c2; z_type v=sqrt(t);
    995 bytes (148 words) - 18:46, 3 September 2023
  • z_type arcsuperfac0(z_type z){ int n; z_type s, c, e; // z-=2.; s=U[15]*z; for(n=14;n>=0;n--){ s+=U[n]; s*=z;}
    1 KB (124 words) - 15:01, 20 June 2013
  • z_type f45E(z_type z){int n; z_type e,s; e=exp(.32663425997828098238*(z-1.11520724513161));
    1 KB (139 words) - 18:48, 30 July 2019
  • z_type f45L(z_type z){ int n; z_type e,s; z-=4.;
    2 KB (163 words) - 18:47, 30 July 2019
  • (1) \(~ ~ ~ \mathrm{ArcLambertW}(z) = \mathrm{zex}(z) = z \exp(z) \) In wide ranges of values of \(z\), the relations
    3 KB (499 words) - 18:25, 30 July 2019
  • ...on]] of [[ArcLambertW]], denoted also as [[zex]], \(\mathrm{zex}(z)=z \exp(z)\). ...\!\!\!\!(2) ~ ~ ~ \mathrm{SuZex}(z\!+\!1)=\mathrm{zex}\Big(\mathrm{SuZex}(z)\Big)\)
    7 KB (1,076 words) - 18:25, 30 July 2019
  • ..., и тогда, например, выражения \(f(0)\) или \(f(z)\) имеют не больше смысла, чем запись \(\displa
    8 KB (210 words) - 18:33, 30 July 2019
  • z_type ArcTania(z_type z) {return z + log(z) - 1. ;} z_type ArcTaniap(z_type z) {return 1. + 1./z ;}
    1 KB (209 words) - 15:01, 20 June 2013
  • ...of function [[SuZex]], which is [[superfunction]] of [[zex]]\(\,(z)=z\exp(z)~\). The [[complex map]] of [[SuZex]] is shown in figure at right. Below, i (1) \(~ ~ ~ T(z)=\mathrm{zex}(z) = z\,\exp(z)~\)
    14 KB (2,037 words) - 18:25, 30 July 2019
  • ...x_1)=a[0][0]/z + (a[1][0]+a[1][1]L)/z^2 + (a[2][0]+a[2][1] L + a[2][2]L^2)/z^3 + .. // and L=Log[z] or L=Log[-z]
    6 KB (180 words) - 15:01, 20 June 2013
  • ...is [[superfunction]] for the [[transfer function]] T(z)=[[zex]](z)= z exp(z) <br> z_type zex(z_type z) { return z*exp(z);}
    12 KB (682 words) - 07:06, 1 December 2018
  • z_type LambertWo(z_type z){ int n,m=48; z_type d=-z; return z*(1.+s); }
    5 KB (287 words) - 15:01, 20 June 2013
  • // z_type zex(z_type z) { return z*exp(z) ; } z_type AuZexAsy(z_type z){ int m=15,n; z_type s;
    3 KB (274 words) - 15:01, 20 June 2013
  • ...o [[Abel function]] for the [[transfer function]] \(\mathrm{zex}(z)=z \exp(z)\). ...]] is [[Inverse function]] of [[SuZex]], so, in wide ranges of values of \(z\), the relations
    6 KB (899 words) - 18:44, 30 July 2019

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